General matrix inversion

Systems involving general matrices

LU factorization of general matrices

Systems involving symmetric positive definite matrices

Factorization of symmetric positive definite matrices

Least-squares solution

Least-squares factorization

Singular Value Decomposition (SVD) and generalized inverse

Solve and generalized inverse for positive semidefinite matrices

Factor and generalized inverse for positive semidefinite matrices

Solves a linear least-squares problem with linear constraints.

Solve a sparse system of linear equations Ax = b.

Compute an LU factorization of a sparse matrix stored in either coordinate format or CSC format.

Solve a general band system of linear equations Ax = b.

Compute the LU factorization of a matrix stored in band storage mode.

Solve a sparse symmetric positive definite system of linear equations Ax = b.

Solve a sparse symmetric positive definite system of linear equations Ax = b.

Solve a symmetric positive definite system of linear equations Ax = b in band symmetric storage mode.

Compute the RTR Cholesky factorization of symmetric positive definite matrix, A, in band symmetric storage mode.

Solve a linear system Ax = b using the restarted generalized minimum residual (GMRES) method.

Solve a real symmetric definite linear system using a conjugate gradient method. Using keywords, a preconditioner can be supplied.

Compute a matrix-vector product involving sparse matrix and a dense vector.